4.6 Article

Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator

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WILEY
DOI: 10.1002/mma.9582

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Hardy-Littlewood maximal function; G-fractional integral; G-maximal function; G-Morrey spaces

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In this paper, necessary and sufficient conditions for the boundedness of the fractional integral on G-Morrey space generated by Gegenbauer differential operator are established. A similar problem is also studied for the fractional maximal operator.
In this paper, we establish necessary and sufficient conditions for the boundedness of the fractional integral on G-Morrey space generated by Gegenbauer differential operator. A similar problem is studied for the fractional maximal operator.

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